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Pyatov, Pavel Nikolaevich

Statistics Math-Net.Ru
Total publications: 6
Scientific articles: 6
Presentations: 1

Number of views:
This page:599
Abstract pages:2136
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References:211
Candidate of physico-mathematical sciences (1991)
Speciality: 01.01.03 (Mathematical physics)
Birth date: 23.06.1964
Phone: +7 (09621) 6 21 30
Fax: +7 (09621) 6 50 84
E-mail:
Keywords: quantum groups, noncommutative differential geometry, Hecke algebras, Birman–Murakami–Wenzl algebras, integrable models.
UDC: 512, 514.74, 530.145, 512.552
MSC: 15a24, 16w30, 17b37, 81r50, 81r60, 81r12

Subject:

Quantum groups, integrable systems.

   
Main publications:
  1. Faddeev L.D., Pyatov P.N., “The differential calculus on quantum linear groups”, AMS Translations – Series 2, 175:2 (1996), 35–47
  2. D.Gurevich, P.N. Pyatov, P.A. Saponov, “Hecke symmetries and characteristic relations on reflection equation algebra”, Letters in Mathematical Physics, 41 (1997), 255–264
  3. P.N. Pyatov, “Raise and Peel Models of fluctuating interfaces and combinatorics of Pascal's hexagon”, Journal of Statistical Mechanics: Theory and Experiment, 2004, P09003, 30 pp.
  4. Gurevich D.I., Pyatov P.N., Saponov P.A., “Kvantovye matrichnye algebry $GL(m|n)$ tipa: struktura kharakteristicheskoi podalgebry i ee spektralnaya parametrizatsiya”, Teoreticheskaya i matematicheskaya fizika, 147:1 (2006), 14–46
  5. Isaev A.P., Pyatov P.N., “Spectral extension of the quantum group cotangent bundle”, Communications in Mathematical Physics, 288:3 (2009), 1137–1179

http://www.mathnet.ru/eng/person17990
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/288538

Publications in Math-Net.Ru
2009
1. D. I. Gurevich, P. N. Pyatov, P. A. Saponov, “Spectral parameterization for power sums of a quantum supermatrix”, TMF, 159:2 (2009),  207–219  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 159:2 (2009), 587–597  isi  scopus
2008
2. D. I. Gurevich, P. N. Pyatov, P. A. Saponov, “Representation theory of (modified) Reflection Equation Algebra of $GL(m|n)$ type”, Algebra i Analiz, 20:2 (2008),  70–133  mathnet  mathscinet  zmath; St. Petersburg Math. J., 20:2 (2009), 213–253  isi
2006
3. D. I. Gurevich, P. N. Pyatov, P. A. Saponov, “Quantum matrix algebras of the $GL(m|n)$ type: The structure and spectral parameterization of the characteristic subalgebra”, TMF, 147:1 (2006),  14–46  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 147:1 (2006), 460–485  isi  elib  scopus
2005
4. D. I. Gurevich, P. N. Pyatov, P. A. Saponov, “Cayley–Hamilton theorem for quantum matrix algebras of type $\mathrm{GL}(m\mid n)$”, Algebra i Analiz, 17:1 (2005),  160–182  mathnet  mathscinet  zmath; St. Petersburg Math. J., 17:1 (2006), 119–135
2004
5. A. P. Isaev, O. V. Ogievetskii, P. N. Pyatov, “On R-Matrix Representations of Birman–Murakami–Wenzl Algebras”, Tr. Mat. Inst. Steklova, 246 (2004),  147–153  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 246 (2004), 134–141
1994
6. P. N. Pyatov, P. A. Saponov, “Notes on the differential calculi on quantum linear groups”, TMF, 100:1 (1994),  148–152  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 100:1 (1994), 912–915  isi

Presentations in Math-Net.Ru
1. Теорема Гамильтона–Кэли для (квантовых/супер) матриц и $R$-матричные представления группы кос
P. N. Pyatov
Seminar by Algebra Department
October 4, 2005

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